18 citations · 84 across the 39 of their papers we have counts for
11 papers · 1 filter
The Field of Values of the Height Zero Characters
Gabriel Navarro, Lucas Ruhstorfer, Pham Huu Tiep +1
We determine what are the fields of values of the irreducible -height zero characters of all finite groups for ; we conjecture what they should be for odd primes, and reduc…
Principal blocks for different primes, II
Gabriel Navarro, Noelia Rizo, A. A. Schaeffer Fry
If G is a finite group, we have proposed new conjectures on the interaction between different primes and their corresponding Brauer principal blocks. In this paper, we give strong…
Principal blocks for different primes, I
Gabriel Navarro, Noelia Rizo, A. A. Schaeffer Fry
We propose new conjectures about the relationship between the principal blocks of finite groups for different primes and establish evidence for these conjectures.
On the commuting probability of p-elements in a finite group
Timothy C. Burness, Robert M. Guralnick, Alexander Moretó +1
Let be a finite group, let be a prime and let be the probability that two random -elements of commute. In this paper we prove that ${\rm Pr}_p(G) > (…
Real Constituents of Permutation Characters
Robert Guralnick, Gabriel Navarro
We prove a broad generalization of a theorem of W. Burnside on real characters using permutation characters. Under a necessary hypothesis, We can give some control on multiplicitie…
Centers of Sylow Subgroups and Automorphisms
George Glauberman, Robert Guralnick, Justin Lynd +1
Suppose that p is an odd prime and G is a finite group having no normal non-trivial p'-subgroup. We show that if a is an automorphism of G of p-power order centralizing a Sylow p-g…